Rick Durrett | Academic Influence

Rick Durrett's AcademicInfluence.com Rankings

Rick Durrett

Mathematics

#1702

World Rank

#2729

Historical Rank

#696

USA Rank

Measure Theory

#449

World Rank

#644

Historical Rank

#190

USA Rank

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Mathematics

Rick Durrett's Degrees

PhD Mathematics Stanford University
Bachelors Mathematics California Institute of Technology

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Why Is Rick Durrett Influential?

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According to Wikipedia, Richard Timothy Durrett is an American mathematician known for his research and books on mathematical probability theory, stochastic processes and their application to mathematical ecology and population genetics.

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Rick Durrett's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Probability: Theory and Examples (1993) (5445)
The Importance of Being Discrete (and Spatial) (1994) (1057)
Random graph dynamics (2007) (929)
Lecture notes on particle systems and percolation (1988) (565)
Stochastic Spatial Models: A User's Guide to Ecological Applications (1994) (489)
Equilibrium distributions of microsatellite repeat length resulting from a balance between slippage events and point mutations. (1998) (447)
Stochastic Calculus: A Practical Introduction (1996) (390)
Brownian motion and martingales in analysis (1984) (389)
Oriented Percolation in Two Dimensions (1984) (376)
Ten lectures on particle systems (1995) (261)
Spatial aspects of interspecific competition. (1998) (253)
Random Graph Dynamics (Cambridge Series in Statistical and Probabilistic Mathematics) (2006) (245)
Some Limit Theorems for Percolation Processes with Necessary and Sufficient Conditions (1981) (234)
Probability Models for DNA Sequence Evolution (2002) (233)
Persistence and reversal of plasmid-mediated antibiotic resistance (2017) (212)
Stochastic Spatial Models (1999) (207)
Essentials of Stochastic Processes (1999) (186)
Spatial Models for Species-Area Curves (1996) (180)
Contact processes on random graphs with power law degree distributions have critical value 0 (2009) (172)
A COSII genetic map of the pepper genome provides a detailed picture of synteny with tomato and new insights into recent chromosome evolution in the genus Capsicum (2009) (167)
From individuals to epidemics. (1996) (165)
Graph fission in an evolving voter model (2012) (162)
Weak Convergence to Brownian Meander and Brownian Excursion (1977) (156)
Probability: Theory and Examples, 4th Edition (2010) (146)
Some features of the spread of epidemics and information on a random graph (2010) (145)
Approximating selective sweeps. (2004) (139)
The Shape of the Limit Set in Richardson's Growth Model (1981) (138)
Selective mapping: a strategy for optimizing the construction of high-density linkage maps. (2000) (132)
Particle Systems and Reaction-Diffusion Equations (1994) (128)
Functional Limit Theorems for Dependent Variables (1978) (123)
Connectivity properties of Mandelbrot's percolation process (1988) (119)
Intratumor Heterogeneity in Evolutionary Models of Tumor Progression (2011) (118)
Limit theorems for the spread of epidemics and forest fires (1988) (112)
Estimating Tumor Growth Rates In Vivo (2015) (108)
On the Growth of One Dimensional Contact Processes (1980) (100)
Evolution of resistance and progression to disease during clonal expansion of cancer. (2010) (99)
Functionals of Brownian meander and Brownian excursion (1977) (98)
The Contact Process on a Finite Set. II (1988) (97)
Rescaled voter models converge to super-Brownian motion (2000) (95)
Distribution and abundance of microsatellites in the yeast genome can Be explained by a balance between slippage events and point mutations. (2000) (93)
A coalescent model for the effect of advantageous mutations on the genealogy of a population (2004) (93)
Local frequency dependence and global coexistence. (1999) (87)
Branching Process Models of Cancer (2015) (85)
Waiting for Two Mutations: With Applications to Regulatory Sequence Evolution and the Limits of Darwinian Evolution (2008) (78)
The Contact Process on a Finite Set. III: The Critical Case (1989) (76)
Quantification of homoplasy for nucleotide transitions and transversions and a reexamination of assumptions in weighted phylogenetic analysis. (2000) (76)
The stepping stone model: New formulas expose old myths (2002) (74)
Random walks and random environments. Volume 1: Random walks (1996) (73)
Random walks, Brownian motion and interacting particle systems : a festschrift in honor of Frank Spitzer (1991) (72)
Supercritical Contact Processes on $Z$ (1983) (72)
Microsatellite Mutation Models (2004) (71)
Can stable social groups be maintained by homophilous imitation alone (2005) (71)
Spatial models for hybrid zones (2000) (70)
Dynamics of microsatellite divergence under stepwise mutation and proportional slippage/point mutation models. (2001) (70)
Asymptotic behavior of Brownian polymers (1992) (67)
POPULATION GENETICS OF NEUTRAL MUTATIONS IN EXPONENTIALLY GROWING CANCER CELL POPULATIONS. (2013) (67)
A waiting time problem arising from the study of multi-stage carcinogenesis (2007) (65)
A phase transition in the random transposition random walk (2004) (62)
Population Genetics of Polymorphism and Divergence Under Fluctuating Selection (2008) (62)
Oriented percolation in dimensions d ≥ 4: bounds and asymptotic formulas (1983) (61)
Genome rearrangement (60)
The Contact Processes in a Random Environment (1991) (60)
Epidemics with Recovery in $D = 2$ (1991) (58)
Nonlinear Voter Models (1991) (57)
Evolutionary dynamics of tumor progression with random fitness values. (2010) (56)
Voter Model Perturbations and Reaction Diffusion Equations (2011) (55)
A simple proof of the stability criterion of Gray and Griffeath (1988) (54)
Brunet–Derrida particle systems, free boundary problems and Wiener–Hopf equations (2009) (53)
Random partitions approximating the coalescence of lineages during a selective sweep (2004) (53)
Dinucleotide repeats in the Drosophila and human genomes have complex, length-dependent mutation processes. (2003) (52)
Fixation Results for Threshold Voter Systems (1993) (50)
Statistical Mechanics of Crabgrass (1989) (50)
Conditioned Limit Theorems For Some Null Recurrent Markov Processes (1976) (50)
Large deviations for the contact process and two dimensional percolation (1988) (50)
Once edge-reinforced random walk on a tree (2002) (49)
Multicolor particle systems with large threshold and range (1992) (47)
Stepping-Stone Spatial Structure Causes Slow Decay of Linkage Disequilibrium and Shifts the Site Frequency Spectrum (2007) (46)
Critical behavior of the two-dimensional first passage time (1986) (46)
Temporal profiles of avalanches on networks (2016) (44)
Conditioned limit theorems for random walks with negative drift (1980) (44)
Role of stem-cell divisions in cancer risk (2017) (43)
The Stepping Stone Model, II: Genealogies and the Infinite Sites Model, Submitted (2005) (40)
Coexistence results for some competition models (1997) (40)
An introduction to infinite particle systems (1981) (40)
Are there bushes in a forest (1991) (39)
Maxima of branching random walks (1983) (39)
Wagner's canalization model. (2007) (38)
HPV Clearance and the Neglected Role of Stochasticity (2015) (37)
The genealogy of critical branching processes (1978) (37)
A spatially-structured stochastic model to simulate heterogenous transmission of viruses in fungal populations (2000) (37)
RIGOROUS RESULTS FOR THE NK MODEL (2003) (37)
Rigorous results for the N K model (2003) (37)
A branching process model of ovarian cancer. (2012) (35)
A New Method for Proving the Existence of Phase Transitions (1991) (35)
Mathematics Inspired by Biology (2000) (35)
Adaptive evolution drives the diversification of zinc-finger binding domains. (2004) (34)
Probability: Measure Theory (2010) (34)
Annihilating branching processes (1991) (34)
Asymptotic Behavior of Excitable Cellular Automata (1993) (33)
Lessons on pattern formation from planet WATOR. (2000) (33)
On weighted heights of random trees (1991) (33)
Competition and species packing in patchy environments. (2002) (33)
Two phase transitions for the contact process on small worlds (2005) (33)
Subfunctionalization: How often does it occur? How long does it take? (2004) (33)
Hybrid zones and voter model interfaces (1995) (33)
Maxima of branching random walks vs. independent random walks (1979) (32)
Perplexing Problems in Probability (1999) (31)
Bayesian Estimation of Genomic Distance (2004) (30)
Spatial Moran models, II: cancer initiation in spatially structured tissue (2016) (30)
Ordinary Differential Equation Models for Adoptive Immunotherapy (2018) (30)
Stochastic Growth Models (1987) (30)
Traveling waves of selective sweeps (2009) (29)
A New Proof of Spitzer's Result on the Winding of Two Dimensional Brownian Motion (1982) (29)
Weak convergence with random indices (1977) (29)
Spatial Moran Models I. Stochastic Tunneling in the Neutral Case. (2015) (29)
Crabgrass, measles, and gypsy moths: An introduction to interacting particle systems (1988) (28)
Asymptotic Critical Value for a Competition Model (1993) (28)
Coexistence in stochastic spatial models (2009) (28)
Multidimensional random walks in random environments with subclassical limiting behavior (1986) (27)
A SPATIAL MODEL FOR THE ABUNDANCE OF SPECIES (1998) (26)
Making money in fair games (1991) (26)
Spatial evolutionary games with small selection coefficients (2014) (26)
Crabgrass, measles and gypsy moths: An introduction to modern probability (1988) (26)
Bayesian Estimation of the Number of Inversions in the History of Two Chromosomes (2002) (25)
Waiting for regulatory sequences to appear (2007) (25)
A simple formula useful for positional cloning. (2002) (25)
Particle systems, random media, and large deviations (1985) (24)
Mutual invadability implies coexistence in spatial models (2002) (23)
Rigorous Result for the CHKNS Random Graph Model (2003) (23)
Controlling the spread of COVID-19 on college campuses. (2020) (23)
Intermediate phase for the contact process on a tree (1995) (22)
Some general results concerning the critical exponents of percolation processes (1985) (22)
Spatial evolutionary games with weak selection (2017) (21)
Discussion on the meeting on ‘Statistical modelling and analysis of genetic data’ (2002) (21)
A multi-opinion evolving voter model with infinitely many phase transitions (2013) (21)
Shuffling Chromosomes (2003) (21)
Thermodynamic inequalities for percolation (1985) (20)
Stepping Stone Model (2008) (19)
From Markov Chains to Nonequilibrium Particle Systems (Mu Fa Chen) (1993) (19)
On the width of hybrid zones (2007) (18)
Rescaled Particle Systems Converging to Super-Brownian Motion (1999) (18)
Some peculiar properties of a particle system with sexual reproduction (1986) (18)
Genealogies in Expanding Populations (2015) (18)
The Contact Process on Random Graphs and Galton Watson Trees (2018) (18)
A first order phase transition in the threshold-$\theta\ge 2$ contact process on random $r$-regular graphs and $r$-trees (2010) (17)
Elementary Probability for Applications (2009) (17)
A Tribute to Paul Erdős: The critical parameter for connectedness of some random graphs (1990) (17)
Power laws for family sizes in a duplication model (2004) (17)
Evolution in predator–prey systems (2009) (16)
Downcrossings and local time (1976) (16)
Asymptotic behavior of the Brownian frog model (2017) (16)
Cancer modelling: a personal perspective (2013) (16)
Coexistence in host-pathogen systems (2008) (16)
Complete convergence theorem for a competition model (1991) (16)
Dependence of paracentric inversion rate on tract length (2007) (16)
Simple models of genomic variation in human SNP density (2007) (16)
Perplexing Problems in Probability: Festschrift in Honor of Harry Kesten (2011) (15)
The equilibrium distribution for a generalized Sankoff-Ferretti model accurately predicts chromosome size distributions in a wide variety of species (2001) (15)
Inhomogeneous percolation problems and incipient infinite clusters (1987) (15)
Boundary Modified Contact Processes (2000) (14)
Coexistence results for catalysts (1994) (14)
On the quantity and quality of single nucleotide polymorphisms in the human genome (2001) (14)
Exact solution for a metapopulation version of Schelling’s model (2014) (13)
Phase transitions in the quadratic contact process on complex networks. (2013) (13)
Asymptotic behavior of Aldous’ gossip process (2010) (13)
Limiting behavior for the distance of a random walk (2006) (13)
One-dimensional stepping stone models, sardine genetics and Brownian local time (2008) (12)
Cancer Modeling: A Personal Perspective (2012) (12)
Coexistence of grass, saplings and trees in the Staver–Levin forest model (2014) (12)
Coexistence in chase-escape (2018) (12)
Correlation lengths for oriented percolation (1989) (11)
STOCHASTIC MODELS OF GROWTH AND COMPETITION (1993) (11)
Degenerate diffusions arising from gene duplication models. (2009) (11)
Persistence of activity in threshold contact processes, an “Annealed approximation” of random Boolean networks (2009) (10)
The Essentials of Probability (1993) (10)
Estimating the critical values of stochastic growth models (1993) (10)
The contact process with fast voting (2014) (10)
A surprising Poisson process arising from a species competition model (2002) (10)
Signatures of neutral evolution in exponentially growing tumors: A theoretical perspective (2020) (9)
Chutes and Ladders in Markov Chains (2000) (9)
Competing super-Brownian motions as limits of interacting particle systems (2005) (9)
SIR epidemics on evolving graphs (2019) (9)
STOCHASTIC GROWTH MODELS: RECENT RESULTS AND OPEN PROBLEMS (1989) (8)
Evolutionary Games on the Torus with Weak Selection (2015) (8)
A new coexistence result for competing contact processes (2006) (8)
Genome Rearrangement : Recent Progress and Open Problems (2005) (8)
Holomorphic diffusions and boundary behavior of harmonic functions (1997) (8)
Spatial Moran Models II. Tumor growth and progression (2012) (7)
The Evolving Voter Model on Thick Graphs (2015) (7)
Random Graph Dynamics: Erdös–Rényi Random Graphs (2006) (7)
Multidimensional RWRE with Subclassical Limiting Behavior (1987) (6)
Chemical evolutionary games. (2014) (6)
Reply to Michael Behe (2009) (6)
Rescaled Contact Processes ConvergeTo Super-Brownian Motion for d 2 (2008) (6)
Chaos in a spatial epidemic model (2008) (6)
Coexistence for a multitype contact process with seasons. (2009) (6)
Evolution of dispersal distance (2012) (6)
Random Oxford Graphs (2004) (6)
The contact process on periodic trees (2018) (6)
Epidemics on Evolving Graphs (2020) (5)
Bayesian and maximum likelihood estimation of genetic maps. (2005) (5)
On the Shape of a Random String (1979) (5)
Review: D. Revuz, M. Yor, Continuous Martingales and Brownian Motion (1993) (5)
Phase transitions for a planar quadratic contact process (2013) (5)
SPECIAL INVITED PAPER COEXISTENCE IN STOCHASTIC SPATIAL MODELS 1 (2009) (4)
A heterogeneous spatial model in which savanna and forest coexist in a stable equilibrium (2018) (4)
Harry Kesten’s Publications (1999) (4)
Applications of Stochastic Processes in Biology and Medicine (2013) (4)
Random walks and random environments. Volume 1: Random walks: Barry D. Hughes, Oxford University Press, Oxford, 1995. $88.00 (cloth), 656 pp (1996) (4)
Latent Voter Model on Locally Tree-Like Random Graphs (2016) (4)
Diffusion limit for the partner model at the critical value (2017) (3)
Interacting Particle Systems at Saint-Flour (2011) (3)
Susceptible–infected epidemics on evolving graphs (2022) (3)
Poisson percolation on the square lattice (2017) (3)
Probability Metrics and the Stability of Stochastic Models (Sveltozar T. Racheu) (1992) (3)
Fingering in Stochastic Growth Models (2014) (3)
Extrapolating weak selection in evolutionary games (2018) (3)
Poisson percolation on the oriented square lattice (2018) (3)
The Life and Mathematical Legacy of Thomas M. Liggett (2020) (2)
The symbiotic contact process (2019) (2)
Central Limit Theorems (2010) (2)
The zealot voter model (2018) (2)
Two evolving social network models (2016) (2)
Persistence and reversal of plasmid-mediated antibiotic resistance (2017) (2)
Block size in Geometric($p$)-biased permutations (2017) (2)
Genealogies in Growing Solid Tumors (2018) (1)
On the unboundedness of martingale transforms (1985) (1)
Probability: Ergodic Theorems (2010) (1)
Persistence of Activity in Random Boolean Networks (2008) (1)
Probability: Laws of Large Numbers (2010) (1)
Continuous Time Markov Chains (2012) (1)
Mathematical Flaws in Suzuki and Gojobori ’ s test for selection (1)
A stochastic spatial model for the sterile insect control strategy (2020) (1)
Heterogeneity in evolutionary models of tumor progression (2010) (1)
A simple evolutionary game arising from the study of the role of IGF-II in pancreatic cancer (2018) (1)
Block sizes in two families of regenerative permutations (2017) (1)
Percolation Theory for Mathematicians (Harry Kesten) (1984) (1)
Erratum: The stepping stone model: New formulas expose old myths (The Annals of Applied Probability (2002) 12 (1348-1377)) (2003) (1)
Genotype patterns in growing solid tumors (2018) (1)
Temporal pro fi les of avalanches on networks (2017) (1)
A new look at multi-stage models of cancer incidence (2018) (1)
Temporal profiles of avalanches on networks (2017) (0)
Book Review: Stochastic analysis (2005) (0)
Book reviews (1996) (0)
Random Graph Dynamics: Random Walks (2006) (0)
The New Science of ( Random ) Networks Two Books Reviewed (2002) (0)
Calculating the window of opportunity to screen for ovarian cancer during early stages: A mathematical model (2012) (0)
Estimation and Hypothesis Testing (2008) (0)
Competitive exclusion in a model with seasonality: Three species cannot coexist in an ecosystem with two seasons. (2022) (0)
Motion by mean curvature in interacting particle systems (2020) (0)
Brownian Motion, II (2018) (0)
Estimating Tumor Growth Rates In Vivo (2015) (0)
Super-Tree Random Measures (1997) (0)
Spatial Moran models, II: cancer initiation in spatially structured tissue (2015) (0)
Diffusions as Markov Processes (2018) (0)
Competing Species, Predator-Prey Models and Measured-valued Diusions (2004) (0)
Fixed Degree Distributions (2006) (0)
ASYMPTOTIC BEHAVIOR OF ALDOUS’ GOSSIP PROCESS 1 (2011) (0)
QnAs with Richard T. Durrett. (2012) (0)
Erratum: Spatial aspects of interspecific competition (Theoretical Population Biology (1998) 53:1 (30-43)) (1998) (0)
Ordinary Differential Equation Models for Adoptive Immunotherapy (2017) (0)
Super-Tree Random (2007) (0)
PERCOLATION OF BINARY SEQUENCES (2007) (0)
Evolution of dispersal distance (2011) (0)
ODE models for adoptive immunotherapy (2016) (0)
Frequency-dependence in a spatial context (1994) (0)
Corrigendum to: The contact process on periodic trees (2023) (0)
Rigorous Result for the C H K N S Random Graph Model (2006) (0)
Probability: Random Walks (2010) (0)
Mandelbrot ' s Percolation Process 309 The last formula (2004) (0)
Fo E Ams 1980 Subject Classification: Primary 60k35. Epidemics * Forest Fires * Percolation * Shape Theorem (2001) (0)
Boundary Modified Contact Processes 1 (2000) (0)
Random Oxford Graphs by Jonah Blasiak (2004) (0)
Asymptotic Behavior of Brownian Tourists (2016) (0)
Spatial networks evolving to reduce length (2014) (0)
The q-voter model on the torus (2020) (0)
Elementary Probability for Applications: Conditional Probability (2009) (0)
Random Graph Dynamics: Overview (2006) (0)
Random Graph Dynamics: References (2006) (0)
STEPPING STONE MODEL 1349 voter model , and in the work of Cox (2002) (0)
CONDITIONED LIMIT THEOREMS FOR SOME NULL (2016) (0)
Asymptotic behavior of the geometric(p) rainstick as p --> 0 (2017) (0)
Block sizes in two families of random permutations (2017) (0)
DR AF T Spatial evolutionary games with weak selection (2017) (0)
PR ] 8 J un 2 00 4 Random Oxford Graphs by Jonah Blasiak (2008) (0)
Solutions manual for probability : theory and examples (1996) (0)
Extrapolating weak selection in evolutionary games (2018) (0)
Letter to the Editors Reply to Michael Behe (2009) (0)
Whole exome sequencing of embryo biopsies reveals clinically-significant de novo mutations (2014) (0)
Stochastic Differential Equations (2018) (0)
Measure Theory Details (2019) (0)
Triple birthday matches in the Senate: Lies, damned lies and chatGPT (2023) (0)
An Exploration of Transmission on Random Graphs (2010) (0)
Exponential distance statistics to detect the effects of population subdivision. (2001) (0)
Correction: Robert Bättig 1968-1997 (1999) (0)

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